TWO-WEIGHT INEQUALITIES FOR HARDY OPERATOR AND COMMUTATORS

被引：4

作者：

Li, Wenming ^{[1
]}

Zhang, Tingting ^{[1
]}

Xue, Limei ^{[2
]}

机构：

[1] Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Hebei, Peoples R China

[2] Shijiazhuang Univ Econ, Sch Math & Sci, Shijiazhuang 050031, Hebei, Peoples R China

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2015年 / 9卷 / 03期

关键词：

Hardy operator; Calderon operator; commutator; two-weight inequality; maximal function;

D O I：

10.7153/jmi-09-55

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the maximal operator N related to the Hardy operator P and its adjoint Q, we give the characterizations for weights (u, v) such that N is bounded from L-p( v) to L-p,L-infinity( u) and from L-p( v) to L-p( u) respectively. We also obtain some A(p) type conditions which are sufficient for the two-weight inequalities for the Hardy operator P, the adjoint operator Q and the commutators of these operators with CMO functions.

引用

页码：653 / 664

页数：12

共 15 条

[1] Weighted bilinear Hardy inequalities [J].

Aguilar Canestro, M. Isabel ;

Ortega Salvador, Pedro ;

Ramirez Torreblanca, C. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 387 (01) :320-334

[2]

[Anonymous], 1985, Springer Series in Soviet Mathematics, DOI DOI 10.1007/978-3-662-09922-3

[3]

Bastero J, 2001, MEM AM MATH SOC, V154, pV

[4]

CRUZURIBE D, 2000, GEORGIAN MATH J, V7, P33, DOI DOI 10.1515/GMJ.2000.33

[5] Calderon Weights as Muckenhoupt Weights [J].

Duoandikoetxea, Javier ;

Martin-Reyes, Francisco J. ;

Ombrosi, Sheldy .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2013, 62 (03) :891-910

[6]

García-Cuerva J, 2001, INDIANA U MATH J, V50, P1241

[7]

GARCIACUERVA J, 1985, N HOLLAND MATH STUD, V116

[8]

Hardy G.H., 1959, INEQUALITIES

[9] Note on a theorem of Hilbert. [J].

Hardy, GH .

MATHEMATISCHE ZEITSCHRIFT, 1920, 6 :314-317

[10]

Hardy GH., 1927, Messenger Math, V57, P12

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